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230554512 = 2435193121
BaseRepresentation
bin11011011110111…
…11101110010000
3121001211101100000
431233133232100
5433010221022
634513330000
75466452406
oct1557375620
9531741300
10230554512
11109162021
1265266900
13389c47b6
1422897476
15153926ac
hexdbdfb90

230554512 has 120 divisors (see below), whose sum is σ = 704572960. Its totient is φ = 72783360.

The previous prime is 230554481. The next prime is 230554523. The reversal of 230554512 is 215455032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72312 + ... + 75432.

Almost surely, 2230554512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230554512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352286480).

230554512 is an abundant number, since it is smaller than the sum of its proper divisors (474018448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230554512 is a wasteful number, since it uses less digits than its factorization.

230554512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 230554512 is about 15184.0216016706. The cubic root of 230554512 is about 613.1845569619.

The spelling of 230554512 in words is "two hundred thirty million, five hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1539 1944 2052 2736 3078 3121 3888 4104 4617 6156 6242 8208 9234 9363 12312 12484 18468 18726 24624 24968 28089 36936 37452 49936 56178 59299 73872 74904 84267 112356 118598 149808 168534 177897 224712 237196 252801 337068 355794 449424 474392 505602 533691 674136 711588 758403 948784 1011204 1067382 1348272 1423176 1516806 1601073 2022408 2134764 2846352 3033612 3202146 4044816 4269528 4803219 6067224 6404292 8539056 9606438 12134448 12808584 14409657 19212876 25617168 28819314 38425752 57638628 76851504 115277256 230554512